In the diagram, O is the center of the circle, ∠MON = 80o, ∠LMO = 10o and ∠LNO = 15o. Calculate the value of x
Attached Figure / Diagram
A
40o
B
50o
C
55o
D
75o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Reflex + ∠OML + ∠ONL + ∠NLM = 360
280o + 10o + 15o + x = 360o => 305o + xo = 360o
x = 360o - 305o = 55o
Source: Myschool Past Questions Archive (Record #26715)